Hello.
The problem here is clients unaware of what goes into providing the product, because it is the result of the service. They just see the product and will compare one product to another, understandably being ignorant of the many factors within the service. I would say that in regards to real-life footage, certain elements can be productized, for example the actual recording part in relation to obtaining testimonial footage, corporate talking head, real estate, etc. You typically know what equipment you need, how many team members, etc. Let them also know what you mean by full-day and half-day, and state as much as possible all the things you think are a given, go on the basis that they know absolutely nothing other than they want a real-life video, beyond that, both parties could be assuming incorrect things about what the other knows.
Furthermore, that level of service you provide, is the result of how many years, how much trial and error, how much education, training, etc, etc. If they think they are just paying for the product, and comparing two guys with vastly different levels of service, experience, excellence, then they need to be informed which is of the greater benefit to them, which of the two can take into account the multitude of factors, which of them can meet the objectives the video is to be used to attain, which of them will provide a smoother experience. They might think you go into their work place, plop the camera and away you go, whereas you know you have to take into account lighting, acoustics, angles, and intangibles to the client such as mood and ambience.
Issues arise in post-production, such as music, motion graphics, editing, etc, etc, where they think certain things are included. I would say give examples of the things you provide, what is included, and typical prices. The more you know what the client wants, the more exact you can be on price, but I would say don’t be too exact in thinking every project is going to go as smooth as possible, hardly ever happens, so best case scenarios that you typically issue a quote for, end up meaning you earn less than you thought you would.
Cheers, Ace.